• Choice A

    RT⃗=(8−2, 11−7)=(6,4)\vec{RT} = (8 - 2,\ 11 - 7) = (6, 4)

    Magnitude: ∥RT⃗∥=62+42=52=213\|\vec{RT}\| = \sqrt{6^2 + 4^2} = \sqrt{52} = 2\sqrt{13}

    Direction: tan⁡−1 ⁣(46)=tan⁡−1 ⁣(23)\tan^{-1}\!\left(\frac{4}{6}\right) = \tan^{-1}\!\left(\frac{2}{3}\right)

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